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What is the Least Common Multiple of 18129 and 18136?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 18129 and 18136 is 328787544.

LCM(18129,18136) = 328787544

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Least Common Multiple of 18129 and 18136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18129 and 18136, than apply into the LCM equation.

GCF(18129,18136) = 1
LCM(18129,18136) = ( 18129 × 18136) / 1
LCM(18129,18136) = 328787544 / 1
LCM(18129,18136) = 328787544

Least Common Multiple (LCM) of 18129 and 18136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18129 and 18136. First we will calculate the prime factors of 18129 and 18136.

Prime Factorization of 18129

Prime factors of 18129 are 3, 6043. Prime factorization of 18129 in exponential form is:

18129 = 31 × 60431

Prime Factorization of 18136

Prime factors of 18136 are 2, 2267. Prime factorization of 18136 in exponential form is:

18136 = 23 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 18129 and 18136.

LCM(18129,18136) = 31 × 60431 × 23 × 22671
LCM(18129,18136) = 328787544